Question: Francis started a business in the year 1991. He got $13000 profit in the first year. Each year his profit decreased by 5%. Write an exponential decay model to represent his decreasing annual profit in the business. A ) y = 13001(1.05)t B ) y = 12999(0.95)t C ) y = 13000(0.85)t D ) y = 13000(0.95)t Steps to derive 1 Let y be Francis's profit in his business.2 The number of years that the profit decreased is t .3 His initial profit C is $13000.4 The decay rate r is 5% or 0.055 The exponential decay can be modeled by the equation y = C(1 - r )t . [Substitute the values $13000 and 0.05 for C and r .]6 y = 13000(1 - 0.05)t [Simplify.]7 y = 13000(0.95)t 8 The exponential decay model of Francis's decreasing annual profit in the business is y = 13000(0.95)t .Hence the right answer is Option D Click Here To Go Back Few Other Questions - At a fast food restaurant, 75% of the customers order a burger, 68% of the customers orde.. 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